A piece of farmland is a watering plot of land in a circular pattern. A sewer line needs to be installed from a new housing project to a processing plant The city does not want the sewer line to cross the farmland. Can a direct line be installed? Let 1 unit = 100 feet. The entry to the sewer plant is at (2,3) The sewage exit from the housing project is at (12,6) The sprinkler system extends 200 ft and the center of the land is at (8,3) ● ● -10 -5- 10 15 1. Will the sewer line cross the farmland? If so then at what points? 2. If the farmer wants to maximize the farming area and does not want to cross the sewer line, what is the longest sprinkler system that could be installed?
A piece of farmland is a watering plot of land in a circular pattern. A sewer line needs to be installed from a new housing project to a processing plant The city does not want the sewer line to cross the farmland. Can a direct line be installed? Let 1 unit = 100 feet. The entry to the sewer plant is at (2,3) The sewage exit from the housing project is at (12,6) The sprinkler system extends 200 ft and the center of the land is at (8,3) ● ● -10 -5- 10 15 1. Will the sewer line cross the farmland? If so then at what points? 2. If the farmer wants to maximize the farming area and does not want to cross the sewer line, what is the longest sprinkler system that could be installed?
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:A piece of farmland is a watering plot of land in a circular pattern. A sewer line needs to be
installed from a new housing project to a processing plant The city does not want the sewer line
to cross the farmland. Can a direct line be installed?
Let 1 unit = 100 feet.
The entry to the sewer plant is at (2,3)
The sewage exit from the housing project is at (12,6)
● The sprinkler system extends 200 ft and the center of the land is at (8,3)
-10
-5-
0
5
1,0
A
15
1. Will the sewer line cross the farmland? If so then at what points?
2. If the farmer wants to maximize the farming area and does not want to cross the sewer
line, what is the longest sprinkler system that could be installed?
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